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Mirrors > Home > ILE Home > Th. List > nrexdv | Unicode version |
Description: Deduction adding restricted existential quantifier to negated wff. (Contributed by NM, 16-Oct-2003.) |
Ref | Expression |
---|---|
nrexdv.1 |
Ref | Expression |
---|---|
nrexdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nrexdv.1 | . . 3 | |
2 | 1 | ralrimiva 2530 | . 2 |
3 | ralnex 2445 | . 2 | |
4 | 2, 3 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wcel 2128 wral 2435 wrex 2436 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 ax-5 1427 ax-gen 1429 ax-ie2 1474 ax-4 1490 ax-17 1506 |
This theorem depends on definitions: df-bi 116 df-tru 1338 df-fal 1341 df-nf 1441 df-ral 2440 df-rex 2441 |
This theorem is referenced by: ltpopr 7515 cauappcvgprlemladdru 7576 cauappcvgprlemladdrl 7577 caucvgprlemladdrl 7598 caucvgprprlemaddq 7628 dvdsle 11736 |
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